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Finding the Fourth Proportional to 10,354.42, 15,538.31 and 4,810.38

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Solution

The fourth proportional to 10,354.42, 15,538.31 and 4,810.38 is: 7,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.42 : 15,538.31 = 4,810.38 : x
  2. Step 2: Convert to fraction form
    10,354.42/15,538.31 = 4,810.38/x
  3. Step 3: Cross multiply
    10,354.42x = 15,538.31 × 4,810.38
  4. Step 4: Simplify right side
    10,354.42x = 74,745,175.66
  5. Step 5: Solve for x
    x = 74,745,175.66/10,354.42
  6. Step 6: Final answer
    x = 7,218.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.